Respuesta :
Lynoll can fit 128 boxes inside the trunk.
What is volume?
Volume is the measure of the capacity that an object holds.
Formula for the volume of cuboid
volume of cuboid = length × width × height
Formula for the volume of cube
volume of cube = [tex]a^{3}[/tex]
where, a is the side length of the cube.
According to the given question
we have
side length of each box = 6 inches
dimensions of trunk is 2 feet by 2 feet by 2 feet by 4 feet
⇒ length of trunk = 2feet = 2×12 inches = 24inches (1feet =12 inch)
width of trunk = 2 feet = 2×12inches = 24 inches
height of trunk = 4feet = 4× 12 = 48 inches
Since, the trunk is in cuboidal shape
therefore,
volume of trunk =( 24×24×48) cubic inches = 27648 cubic inches
and
volume of one box = (6× 6 × 6) cubic inches = 216 cubic inches
so
the number of boxes can fit inside the trunk = [tex]\frac{volume of trunk}{volume of one box}[/tex]
number of boxes can fit inside the trunk = [tex]\frac{27648}{216} = 128 boxes[/tex]
Hence, Lynoll can fit 128 boxes inside the trunk.
Learn more about volume here:
https://brainly.com/question/23118276
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